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14099110272 = 2732132139521
BaseRepresentation
bin11010010000101111…
…10101100110000000
31100101120222000022100
431020113311212000
5212333333012042
610251012510400
71006250313522
oct151027654600
940346860270
1014099110272
115a85642255
12289591b400
131439000700
1497a715a12
15577bae24c
hex3485f5980

14099110272 has 288 divisors, whose sum is σ = 44333616600. Its totient is φ = 4298711040.

The previous prime is 14099110261. The next prime is 14099110273. The reversal of 14099110272 is 27201199041.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14099110273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27061372 + ... + 27061892.

Almost surely, 214099110272 is an apocalyptic number.

14099110272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14099110272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22166808300).

14099110272 is an abundant number, since it is smaller than the sum of its proper divisors (30234506328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14099110272 is a wasteful number, since it uses less digits than its factorization.

14099110272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 14099110272 in words is "fourteen billion, ninety-nine million, one hundred ten thousand, two hundred seventy-two".